13688200 has 48 divisors (see below), whose sum is σ = 32224500. Its totient is φ = 5406720.

The previous prime is 13688173. The next prime is 13688221. The reversal of 13688200 is 288631.

It can be written as a sum of positive squares in 6 ways, for example, as 2304324 + 11383876 = 1518^2 + 3374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17416 + ... + 18184.

Almost surely, 2^13688200 is an apocalyptic number.

13688200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112250).

13688200 is an abundant number, since it is smaller than the sum of its proper divisors (18536300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13688200 is a wasteful number, since it uses less digits than its factorization.

13688200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13688200 is about 3699.7567487607. The cubic root of 13688200 is about 239.2115328720.

The spelling of 13688200 in words is "thirteen million, six hundred eighty-eight thousand, two hundred".